Which of the following series diverge? 2 k² +1 I. IM8 IMS IMS III. k=3 II. Σ k=2 (A) None k 6 (9)* (-1) k (B) II only (C) III only (D) I and III (E) II and III

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 21E
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Which of the following series diverge?
∞0
I. Σ
k=3
II. Σ
k=1
III.
(A) None
2
k² +1
k
(-1) k
k
(B) II only
(C) III only
(D) I and III
(E) II and III
Transcribed Image Text:Which of the following series diverge? ∞0 I. Σ k=3 II. Σ k=1 III. (A) None 2 k² +1 k (-1) k k (B) II only (C) III only (D) I and III (E) II and III
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